Highest Common Factor of 4537, 1249 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 4537, 1249 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4537, 1249 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 4537, 1249 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 4537, 1249 is 1.
HCF(4537, 1249) = 1
HCF of 4537, 1249 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4537, 1249 is 1.
Highest Common Factor of 4537,1249 is 1
Step 1: Since 4537 > 1249, we apply the division lemma to 4537 and 1249, to get
4537 = 1249 x 3 + 790
Step 2: Since the reminder 1249 ≠ 0, we apply division lemma to 790 and 1249, to get
1249 = 790 x 1 + 459
Step 3: We consider the new divisor 790 and the new remainder 459, and apply the division lemma to get
790 = 459 x 1 + 331
We consider the new divisor 459 and the new remainder 331,and apply the division lemma to get
459 = 331 x 1 + 128
We consider the new divisor 331 and the new remainder 128,and apply the division lemma to get
331 = 128 x 2 + 75
We consider the new divisor 128 and the new remainder 75,and apply the division lemma to get
128 = 75 x 1 + 53
We consider the new divisor 75 and the new remainder 53,and apply the division lemma to get
75 = 53 x 1 + 22
We consider the new divisor 53 and the new remainder 22,and apply the division lemma to get
53 = 22 x 2 + 9
We consider the new divisor 22 and the new remainder 9,and apply the division lemma to get
22 = 9 x 2 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4537 and 1249 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(53,22) = HCF(75,53) = HCF(128,75) = HCF(331,128) = HCF(459,331) = HCF(790,459) = HCF(1249,790) = HCF(4537,1249) .
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Frequently Asked Questions on HCF of 4537, 1249 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 4537, 1249?
Answer: HCF of 4537, 1249 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4537, 1249 using Euclid's Algorithm?
Answer: For arbitrary numbers 4537, 1249 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.